A Measure of Sociometric Reciprocity
Bibliographic Data
| ID | 2331252 |
|---|---|
| Authors | John T Doby (corresponding author) |
| Year | 1973 |
| Volume | 1 |
| Issue | 4 |
| Pages | 497-519 |
| Publication date | 1973-05-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Sociological Methods & Research (JOURNAL) |
| Journal identifiers | ISSN: 0049-1241 • E-ISSN: 1552-8294 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/004912417300100404 |
| OpenAlex | W1974646316 |
| Language | EN |
| References cited | 15 |
A measure of reciprocal interpersonal acceptance is developed from the point of view of the mutual acceptance of the members of role sets. The model consists of the application of four basic notions in probability theory. These are: (1) the concept of probability space; (2) the binomial coefficient; (3) the assumption of independence of events; and (4) the binomial theorem. Acceptance is analyzed under two basic conditions: first, under the condition of independence of choice and where everyone in the set rates everyone else; second, under the condition of nonindependence of choice, where a designated number of persons is chosen by each. A general solution was found under the first condition and under the second condition when N/k, the ratio of the total number of persons, N, to the number of persons chosen plus 1, k, is an integer. A general solution was not found when N/k is a noninteger. An ad hoc solution was proposed for this case
Binomial coefficient · Discrete mathematics · Econometrics · Independence (probability theory) · Mathematical economics · Measure (data warehouse) · Probability measure · Reciprocal · Reciprocity (cultural anthropology) · Statistics · Advanced Algebra and Logic · Bayesian Modeling and Causal Inference · Computer Science · Mathematics · Psychology · Social Psychology · Topological and Geometric Data Analysis
The acquaintance process.
From Acts To Dispositions The Attribution Process In Person Perception
Statistical reasoning in sociology
Applications of graph theory to group structure
The psychology of interpersonal relations.
Sociometric Choice Patterns in Outpatient Schizophrenics
The Measurement of Group Integration
The Use of a Sociometric Test as a Predictor of Combat Unit Effectiveness
A Sociometric Study of Race Cleavage in the Classroom
Algebraic Systems for Normal and Hierarchical Sociograms
A study of a large sociogram
An approach to the study of communicative acts
A test of interpersonal attraction predictions derived from balance theory
| Citation velocity | historical |
|---|---|
| Highly cited | No |